SSC CGL 2012 Tier 1

Instructions

For the following questions answer them individually

SSC CGL 2012 Tier 1 - Question 141


If $$x=cosec\theta-sin\theta$$ and $$y=sec\theta-cos\theta$$, then the value of $$x2y2(x2 + y2 + 3)$$

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SSC CGL 2012 Tier 1 - Question 142


If $$ 0 \leq \theta \leq \frac{\pi}{2}$$, $$2ycos\theta=sin\theta$$ and $$\frac{x}{2cosec\theta}=y$$, then the value of $$x^2-4y^2$$ is

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SSC CGL 2012 Tier 1 - Question 143


When the angle of elevation of the sun increases from 30$$^{\circ}$$ to 60$$^{\circ}$$ , the shadow of a post is diminished by 5 metres. Then the height of the post is

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SSC CGL 2012 Tier 1 - Question 144


A rail road curve is to be laid out on a circle. What radius should be used if the track is to change direction by 25$$^{\circ}$$ in a distance of 40 metres?

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SSC CGL 2012 Tier 1 - Question 145


If $$sin\theta + \sin^2\theta = 1$$, then the value of cos12$$\theta$$ + 3cos10$$\theta$$ + cos6$$\theta$$ +  3cos8$$\theta$$  - 1 is

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Instructions

Directions : Population of the five adjacent areas of a town, in the year of 2020, are represented in the following Pie-chart. The ratio of the numbers of males to that of females in these areas are states in the table below. The total of the population in all the five areas is 72 lakh. Study the Pie-chart and the table and then answer the questions.

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Ratio of number of males(M) to females(F)

 

SSC CGL 2012 Tier 1 - Question 146


12 lakh in the population of the area

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SSC CGL 2012 Tier 1 - Question 147


The number of males in the areas S1 and S4 together is

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SSC CGL 2012 Tier 1 - Question 148


The ratio of number of females in the areas S2 in the areas S5 is

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SSC CGL 2012 Tier 1 - Question 149


If, in the year 2010, there was an increase of 5% population in the areas S1 and 8% increase in population of the area S3 compared to the previous year, then the ratio of population in the areas S1 and S2, in the year 2009 was

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SSC CGL 2012 Tier 1 - Question 150


The average of female population in all the five areas is lower than the female population in each of the areas

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